Quantitative Aptitude - Arithmetic Ability Questions

The value of sec2θ + 2tanθcotθ - tan2θ is

If one of the zeros of the quadratic polynomial (k - 1)x2 + kx + 1 is -3 then the value of k = ?

n an alloy, lead and tin are in the ratio of 2 : 3. In the second alloy, the ratio of same elements is 3 : 4. If equal quantities of these two alloy are mixed to forma new alloy, then what will be the ratio of these two elements in the new alloy? 

The order of rotational symmetry of a parallelogram is

If the 1st and the 3rd term of an arithmetic progression are -10 and -4, what is the 12th term?

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

The length of two parallel sides of a trapezium are 18 m and 24 m. If its height is 12 m, then what is the area (in sq.m) of the trapezium?